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junk f Space junk C B junk,i X satellite,i Satellite (z out of page) A spherical satellite of radius 4.9 m and mass M =
junk f Space junk C B "junk,i X satellite,i Satellite (z out of page) A spherical satellite of radius 4.9 m and mass M = 210 kg is originally moving with velocity V satellite,/ = m/s, and is originally rotating with an angular speed wj = 2 radians/second, in the direction shown in the diagram. A small piece of space junk of mass m = 3.8 kg is initially moving toward the satellite with velocity V junk,/ = m/s. The space junk hits the edge of the satellite at location C as shown in the diagram, and moves off with a new velocity V junk,/ = m/s. Both before and after the collision, the rotation of the space junk is negligible. MOMENTUM After the collision, what is the final momentum of the satellite? P satellite,/ = (560540, - 1976,0) kg . m/s What is the final velocity of the satellite? V satellite ,/= (2669.24, - 9.41,0) m/s What is the initial rotational angular momentum of the satellite, around location D (its center of mass)? (Be sure your signs are correct). L satellite,/ = -4033.68 kg . m /s ANGULAR MOMENTUM Assuming the density of the satellite is uniform throughout, what is the moment of inertia of the satellite? (The moment of inertia of a uniform-density sphere is (2/5) MR?.) I = 2016.84 kg . m2 Which of the following statements about the translational angular momentum of the space junk, about location D, are true? Check all that apply: O Because the space junk is traveling in a straight line, its angular momentum is zero. The translational angular momentum of the space junk is the same when the space junk is at locations A, B, and just before getting to C. *Py - UPs is the same when the space junk is at locations A, B, and just before getting to C. The translational angular momentum of the space junk is in the -z direction. O T1 is the same when the space junk is at locations A, B, and just before getting to C. An instant before the collision, when the space junk is almost at location C, what is the translational angular momentum of the space junk about location D? L' junk,/ = 53998 kg . m /s An instant after the collision, when the space junk is just slightly beyond location C, what is the translational angular momentum of the space junk about location D? [ junk,r = (0,0,9682.4) kg . my/s At the same instant after the collision, what is the rotational angular momentum of the satellite? L satellite, / = (0,0, - 5648.72) kg . m /s XWhat is the new angular speed of the satellite? ON = X Speed is a positive number radians/s
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